Geodesic
On locally homogeneous compact pseudo-Riemannian manifolds
Maciej Bocheński 1   ; Piotr Jastrzębski 1   ; Aleksy Tralle 1
1 Department of Mathematics and Computer Science University of Warmia and Mazury Słoneczna 54 10-710 Olsztyn, Poland
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 135-139 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We are interested in the problem of the existence of compact Clifford–Klein forms of pseudo-Riemannian homogeneous spaces $G/H$ of reductive type. We give a generalization of our previous result in [Proc. Amer. Math. Soc. (2017)] with a more conceptual and simpler proof. We show that there are no solvable compact Clifford–Klein forms of pseudo-Riemannian homogeneous spaces $G/H$ with any unimodular subgroup $H$ contained in the semisimple part of the Levi factor of some parabolic subgroup.
DOI : 10.4064/cm7139s-1-2017
Keywords: interested problem existence compact clifford klein forms pseudo riemannian homogeneous spaces reductive type generalization previous result proc amer math soc conceptual simpler proof there solvable compact clifford klein forms pseudo riemannian homogeneous spaces unimodular subgroup contained semisimple part levi factor parabolic subgroup

Maciej Bocheński  1   ; Piotr Jastrzębski  1   ; Aleksy Tralle  1

1 Department of Mathematics and Computer Science University of Warmia and Mazury Słoneczna 54 10-710 Olsztyn, Poland 
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Maciej Bocheński; Piotr Jastrzębski; Aleksy Tralle. On locally homogeneous compact pseudo-Riemannian manifolds. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 135-139. doi: 10.4064/cm7139s-1-2017

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